Simultaneous unitarizability of SL_n(C)-valued maps, and constant mean curvature k-noid monodromy

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dc.creatorRossman, W
dc.creatorSchmitt, N
dc.date2006-08-26
dc.date.accessioned2026-07-07T09:35:04Z
dc.date.available2026-07-07T09:35:04Z
dc.descriptionWe give necessary and sufficient local conditions for the simultaneous unitarizability of a set of analytic matrix maps from an analytic 1-manifold into SL_n(C) under conjugation by a single analytic matrix map. We apply this result to the monodromy arising from an integrable partial differential equation to construct a family of k-noids, genus-zero constant mean curvature surfaces with three or more ends in Euclidean, spherical and hyperbolic 3-spaces.
dc.identifierhttps://arxiv.org/abs/math/0608651
dc.identifierhttp://arxiv.org/abs/math/0608651
dc.identifierAnn. della Scuola Norm. Sup. Pisa 5 (2006), 549-577
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159714
dc.subjectDifferential Geometry
dc.subject53A10
dc.titleSimultaneous unitarizability of SL_n(C)-valued maps, and constant mean curvature k-noid monodromy
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